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Finding the Fourth Proportional to 484,431.35, 726,752.05 and 147,463.20

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Solution

The fourth proportional to 484,431.35, 726,752.05 and 147,463.20 is: 221,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,431.35 : 726,752.05 = 147,463.20 : x
  2. Step 2: Convert to fraction form
    484,431.35/726,752.05 = 147,463.20/x
  3. Step 3: Cross multiply
    484,431.35x = 726,752.05 × 147,463.20
  4. Step 4: Simplify right side
    484,431.35x = 107,169,182,530.90
  5. Step 5: Solve for x
    x = 107,169,182,530.90/484,431.35
  6. Step 6: Final answer
    x = 221,226.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.